Greatest Common Factor of 9380 and 9385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9380, 9385 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9380 and 9385 is 5.

GCF(9380,9385) = 5

GCF of 9380 and 9385

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9380 and 9385

GCF of 9380 and 9385 is 5

Prime Factorization of 9380


2 9380
2 4690
5 2345
7 469
67 67
1

Prime factors of 9380 are 2,5,7,67. Prime factorization of 9380 in exponential form is:

9380 = 22×51×71×671

Prime Factorization of 9385


5 9385
1877 1877
1

Prime factors of 9385 are 5,1877. Prime factorization of 9385 in exponential form is:

9385 = 51×18771

∴ So by taking common prime factors GCF of 9380 and 9385 is 5

Greatest Common Factor of 9380 and 9385 by matching factors method

Factors of 9380

List of positive integer factors of 9380 that divides 9380 without a remainder.

1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380

Factors of 9385

List of positive integer factors of 9385 that divides 9385 without a remainder.

1,5,1877,9385

Greatest Common Factor

We found the factors and prime factorization of 9380 and 9385. The biggest common factor number is the GCF number.
So the greatest common factor 9380 and 9385 is 5.

Also check out the Least Common Multiple of 9380 and 9385

Properties of GCF 9380 and 9385

(i) The GCF of 9380 and 9385 is associative

GCF of 9380 and 9385 = GCF of 9385 and 9380

Related Greatest Common Factor of 9380

Related Greatest Common Factor of 9385

Frequently Asked Questions on GCF of 9380 and 9385

1. What is the GCF of 9380 and 9385?

Answer: GCF of 9380 and 9385 is 5.

2. What are the Factors of 9380?

Answer: Factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380. There are 24 integers that are factors of 9380. The greatest factor of 9380 is 9380.

3. What are the Factors of 9385?

Answer: Factors of 9385 are 1, 5, 1877, 9385. There are 4 integers that are factors of 9385. The greatest factor of 9385 is 9385.

4. How to Find the GCF of 9380 and 9385?

Answer:

Greatest Common Factor of 9380 and 9385 = 5

Step 1: Find the prime factorization of 9380

9380 = 2 x 2 x 5 x 7 x 67

Step 2: Find the prime factorization of 9385

9385 = 5 x 1877

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9380 and 9385 is 5